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Which of the following quantities are scalar quantities?
Which of the following quantities are scalar quantities?
Which of the following is an example of a scalar quantity?
Which of the following is an example of a scalar quantity?
Match the following
Match the following
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A tensor quantity can change magnitude and direction when imposed with a vector quantity.
A tensor quantity can change magnitude and direction when imposed with a vector quantity.
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The vector quantity is represented by a ______ line with a bow arrow on one end.
The vector quantity is represented by a ______ line with a bow arrow on one end.
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Which of the following statements about equal vectors is correct?
Which of the following statements about equal vectors is correct?
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The vectors, whose magnitudes are same but directions are opposite are called:
The vectors, whose magnitudes are same but directions are opposite are called:
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Match the following vector types to their definitions.
Match the following vector types to their definitions.
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Which of the following statements about the addition of vectors is correct?
Which of the following statements about the addition of vectors is correct?
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The triangle method and parallelogram method for vector addition always produce the same resultant vector.
The triangle method and parallelogram method for vector addition always produce the same resultant vector.
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The addition of vectors is a [blank] operation.
The addition of vectors is a [blank] operation.
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The subtraction of vectors is equivalent to:
The subtraction of vectors is equivalent to:
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When a vector is multiplied by a scalar, the result is:
When a vector is multiplied by a scalar, the result is:
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The scalar product of perpendicular vectors is zero.
The scalar product of perpendicular vectors is zero.
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The scalar product of two vectors is commutative.
The scalar product of two vectors is commutative.
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Match the following terms to their definitions.
Match the following terms to their definitions.
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The cross product of two parallel vectors is zero.
The cross product of two parallel vectors is zero.
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The magnitude of the vector product of two vectors is equal to the product of the magnitudes of the two vectors, multiplied by the sine of the angle between them.
The magnitude of the vector product of two vectors is equal to the product of the magnitudes of the two vectors, multiplied by the sine of the angle between them.
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The process of resolving a vector into its components is known as:
The process of resolving a vector into its components is known as:
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The magnitude and direction of a vector can be determined using its components.
The magnitude and direction of a vector can be determined using its components.
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When an object is pushed on a horizontal surface, which component of the force applied by a person causes the horizontal motion of the object?
When an object is pushed on a horizontal surface, which component of the force applied by a person causes the horizontal motion of the object?
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Pushing a roller is easier than pulling it.
Pushing a roller is easier than pulling it.
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What is the primary reason we need centripetal force?
What is the primary reason we need centripetal force?
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What is the direction of centripetal force?
What is the direction of centripetal force?
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Centripetal force accelerates an object by changing its velocity without changing its speed.
Centripetal force accelerates an object by changing its velocity without changing its speed.
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Centripetal force is always generated by a force of contact.
Centripetal force is always generated by a force of contact.
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Which of the following is NOT an example of a centripetal force?
Which of the following is NOT an example of a centripetal force?
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What is the centripetal force that keeps the Earth in its orbit around the Sun?
What is the centripetal force that keeps the Earth in its orbit around the Sun?
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A cyclist leaning into a turn is an example of centripetal force.
A cyclist leaning into a turn is an example of centripetal force.
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The centripetal force required to make a car turn on a curved road originates primarily from the car's engine.
The centripetal force required to make a car turn on a curved road originates primarily from the car's engine.
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Centrifugal force is a real force that acts outwards on objects moving in a circular path.
Centrifugal force is a real force that acts outwards on objects moving in a circular path.
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Which of the following devices utilizes centrifugal force for its operation?
Which of the following devices utilizes centrifugal force for its operation?
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Centrifugal force acts in the same direction as centripetal force.
Centrifugal force acts in the same direction as centripetal force.
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Centrifugal force is essential for keeping a particle moving on a circular path.
Centrifugal force is essential for keeping a particle moving on a circular path.
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What is the main factor determining the critical velocity of a body moving in a vertical circle?
What is the main factor determining the critical velocity of a body moving in a vertical circle?
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If the velocity of a body at the highest point in a vertical circle is less than the critical velocity, the string will slacken, and the body will fall.
If the velocity of a body at the highest point in a vertical circle is less than the critical velocity, the string will slacken, and the body will fall.
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The angle of a road or rail track at a turn is known as banking, which is designed to help minimize friction between the vehicle and the track during a turn.
The angle of a road or rail track at a turn is known as banking, which is designed to help minimize friction between the vehicle and the track during a turn.
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The maximum speed a car can safely take a turn on a banked road is determined by the coefficient of friction and the angle of bank.
The maximum speed a car can safely take a turn on a banked road is determined by the coefficient of friction and the angle of bank.
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If a rotor is moving with a uniform speed in a vertical direction and a person is standing on it, the acceleration acting on the person is only due to gravity.
If a rotor is moving with a uniform speed in a vertical direction and a person is standing on it, the acceleration acting on the person is only due to gravity.
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The coefficient of limiting friction between a person and the wall of a rotating rotor is directly proportional to the square of the rotor's final speed.
The coefficient of limiting friction between a person and the wall of a rotating rotor is directly proportional to the square of the rotor's final speed.
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Study Notes
Physical Quantities
- Physical quantities can be divided into three types based on their representation
- Scalar quantities have magnitude only, and direction is not applicable or not specified. Examples include refractive index, dielectric constant, relative density, mass, temperature, speed, and potential.
- Vector quantities have both magnitude and direction, stated explicitly. Examples include displacement, force, acceleration, momentum, impulse, and weight. Electric current is a scalar, while electric current density is a vector. Time, pressure, and surface tension are scalars despite having direction.
- Tensor quantities have different values in different directions, and complete description cannot be done by magnitudes and directions. Examples include stress, moment of inertia, and electric susceptibility.
Vector Representation
- Vectors are represented by a straight line with an arrow.
- The length of the line is proportional to its magnitude.
- The direction of the arrow is parallel to the direction of the vector.
- The initial point is called the tail.
- The final point is called the head.
Addition of Vectors
- Triangle method: To add vectors A and B, draw vector A, then draw vector B from the head of A. The resultant vector R is drawn from the tail of A to the head of B.
- Parallelogram method: Place the tails of vectors A and B at a common point. Construct a parallelogram with A and B as two adjacent sides. The diagonal of the parallelogram represents the resultant vector R.
Scalar/Dot Product
- The scalar product of two vectors is a scalar quantity.
- Its value is equal to the product of magnitudes of both vectors and cosine of the angle between them, where A * B = AB cos(θ)
Vector/Cross Product
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The vector product of two vectors is a vector quantity.
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Its magnitude is equal to the product of magnitudes of both vectors and sine of the angle between them.
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The direction of the vector product is perpendicular to both vectors
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A*B = AB sin(θ)
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Description
This quiz covers the classification of physical quantities into three main types: scalar, vector, and tensor quantities. Learn about their fundamental characteristics, examples of each type, and the representation of vectors. Understand the significance of magnitude and direction in these physical concepts.
